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225054103131 = 331113471240193
BaseRepresentation
bin1101000110011001000…
…1010001011001011011
3210111220101222222212000
43101212101101121123
512141402322300011
6251215522252043
722155023212314
oct3214621213133
9714811888760
10225054103131
11874991a0760
123774a1b7023
13182b7b19580
14ac6d70d60b
155cc2c82356
hex346645165b

225054103131 has 64 divisors (see below), whose sum is σ = 400036976640. Its totient is φ = 123225477120.

The previous prime is 225054103123. The next prime is 225054103133. The reversal of 225054103131 is 131301450522.

225054103131 is a `hidden beast` number, since 22 + 505 + 4 + 1 + 0 + 3 + 131 = 666.

It is not a de Polignac number, because 225054103131 - 23 = 225054103123 is a prime.

It is a super-2 number, since 2×2250541031312 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 225054103095 and 225054103104.

It is not an unprimeable number, because it can be changed into a prime (225054103133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 438630 + ... + 801563.

It is an arithmetic number, because the mean of its divisors is an integer number (6250577760).

Almost surely, 2225054103131 is an apocalyptic number.

225054103131 is a deficient number, since it is larger than the sum of its proper divisors (174982873509).

225054103131 is a wasteful number, since it uses less digits than its factorization.

225054103131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240273 (or 1240267 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 225054103131 its reverse (131301450522), we get a palindrome (356355553653).

The spelling of 225054103131 in words is "two hundred twenty-five billion, fifty-four million, one hundred three thousand, one hundred thirty-one".

Divisors: 1 3 9 11 13 27 33 39 47 99 117 141 143 297 351 423 429 517 611 1269 1287 1551 1833 3861 4653 5499 6721 13959 16497 20163 60489 181467 1240193 3720579 11161737 13642123 16122509 33485211 40926369 48367527 58289071 122779107 145102581 174867213 177347599 368337321 435307743 524601639 532042797 641179781 757757923 1573804917 1596128391 1923539343 2273273769 4788385173 5770618029 6819821307 8335337153 17311854087 20459463921 25006011459 75018034377 225054103131